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Finding the Third Proportional to 130,324 and 201,471

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Solution

The third proportional to 130,324 and 201,471 is: 311,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,324 : 201,471 = 201,471 : x
  2. Step 2: Convert to fraction form
    130,324/201,471 = 201,471/x
  3. Step 3: Cross multiply
    130,324x = 201,471 × 201,471
  4. Step 4: Simplify right side
    130,324x = 40,590,563,841
  5. Step 5: Solve for x
    x = 40,590,563,841/130,324
  6. Step 6: Final answer
    x = 311,458.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.